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## Main Question or Discussion Point

If S is a closed surface, then the integral over S of (curlV) dot dn must equal zero.

How could I show this is true in general?

How could I show this is true in general?

- Thread starter Ed Quanta
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- #1

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If S is a closed surface, then the integral over S of (curlV) dot dn must equal zero.

How could I show this is true in general?

How could I show this is true in general?

- #2

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Can't we use a little basic topology to proove this? We discussed homotopic curves or surfaces and I believe when for a force field F. [tex]\del X F = 0[/tex] then there exists one. I might be able to look this up, in our class actually we were showed the techniques of evaluating surface integrals, but not the rigors of the proofs.

- #3

Tide

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- #4

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Oh right if [tex]\int\int\int_V div F dV = 0[/tex]

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